An Extended Katz’s Distribution Obtained by the Beta Transformation for the Count Data

Abstract

In this paper, we introduce an extension of the Katz distribution constructed by the beta transformation. This is a new three-parameter distribution for the analysis and modeling of count data, which we call the new extended Katz distribution. We will study the new distribution from a probabilistic and statistical point of view. We perform a comparison study with an other extension of the Katz distribution with two methods: graphical and goodness-of-fit comparisons. For goodness-of-fit, we have considered the real data and the parameters are estimated by the maximum likelihood method.